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|a 9783642227172
|9 978-3-642-22717-2
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|a 10.1007/978-3-642-22717-2
|2 doi
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|a QC19.2-20.85
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|a PHU
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|a 530.15
|2 23
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|a Unterberger, Jérémie.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a The Schrödinger-Virasoro Algebra
|h [electronic resource] :
|b Mathematical structure and dynamical Schrödinger symmetries /
|c by Jérémie Unterberger, Claude Roger.
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|a 1st ed. 2012.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 2012.
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|a XLII, 302 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Theoretical and Mathematical Physics,
|x 1864-5887
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|a Introduction -- Geometric Definitions of SV -- Basic Algebraic and Geometric Features -- Coadjoint Representaion -- Induced Representations and Verma Modules -- Coinduced Representations -- Vertex Representations -- Cohomology, Extensions and Deformations -- Action of sv on Schrödinger and Dirac Operators -- Monodromy of Schrödinger Operators -- Poisson Structures and Schrödinger Operators -- Supersymmetric Extensions of sv -- Appendix to chapter 6 -- Appendix to chapter 11 -- Index.
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|a This monograph provides the first up-to-date and self-contained presentation of a recently discovered mathematical structure-the Schrödinger-Virasoro algebra. Just as Poincaré invariance or conformal (Virasoro) invariance play a key role in understanding, respectively, elementary particles and two-dimensional equilibrium statistical physics, this algebra of non-relativistic conformal symmetries may be expected to apply itself naturally to the study of some models of non-equilibrium statistical physics, or more specifically in the context of recent developments related to the non-relativistic AdS/CFT correspondence. The study of the structure of this infinite-dimensional Lie algebra touches upon topics as various as statistical physics, vertex algebras, Poisson geometry, integrable systems and supergeometry as well as representation theory, the cohomology of infinite-dimensional Lie algebras, and the spectral theory of Schrödinger operators. .
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|a Mathematical physics.
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|a Topological groups.
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|a Lie groups.
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|a Algebra, Homological.
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|a System theory.
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|a Mathematical Methods in Physics.
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|a Topological Groups and Lie Groups.
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|a Mathematical Physics.
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|a Category Theory, Homological Algebra.
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|a Complex Systems.
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|a Theoretical, Mathematical and Computational Physics.
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|a Roger, Claude.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9783642269592
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776 |
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|i Printed edition:
|z 9783642227189
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|i Printed edition:
|z 9783642227165
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830 |
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|a Theoretical and Mathematical Physics,
|x 1864-5887
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|u https://doi.uam.elogim.com/10.1007/978-3-642-22717-2
|z Texto Completo
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|a ZDB-2-PHA
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|a ZDB-2-SXP
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|a Physics and Astronomy (SpringerNature-11651)
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|a Physics and Astronomy (R0) (SpringerNature-43715)
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